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Finding the Fourth Proportional to 17,765.39, 24,516.84 and 10,213.29

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Solution

The fourth proportional to 17,765.39, 24,516.84 and 10,213.29 is: 14,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.39 : 24,516.84 = 10,213.29 : x
  2. Step 2: Convert to fraction form
    17,765.39/24,516.84 = 10,213.29/x
  3. Step 3: Cross multiply
    17,765.39x = 24,516.84 × 10,213.29
  4. Step 4: Simplify right side
    17,765.39x = 250,397,592.02
  5. Step 5: Solve for x
    x = 250,397,592.02/17,765.39
  6. Step 6: Final answer
    x = 14,094.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.